That’s according to Spanish news outlet Diario Gol who says the Argentine superstar wants Di Maria to strut his stuff and the Nou Camp.
Di Maria has rebuilt his career at PSG following a disappointing stint at Manchester United.
But the arrival of Neymar - and potentially Kylian Mbappe from Monaco - could see his game time severely limited.
However, Jurgen Klopp is determined not to sell his prized asset and is refusing to sanction a deal.
Diario Gol say Messi isn’t too fussed about the Brazilian arriving at the Nou Camp anyway.
The 30-year-old - who is a hugely influential figure at the club - is more enthusiastic about a deal for Di Maria.
They lost Neymar to PSG for a world-record fee and initially struggled to draft in reinforcements.